21856348800 has 1536 divisors, whose sum is σ = 98806176000. Its totient is φ = 4644864000.

The previous prime is 21856348777. The next prime is 21856348807. The reversal of 21856348800 is 884365812.

21856348800 is a `hidden beast` number, since 2 + 1 + 8 + 5 + 634 + 8 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×21856348800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (21856348807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 358300770 + ... + 358300830.

Almost surely, 2^21856348800 is an apocalyptic number.

21856348800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21856348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49403088000).

21856348800 is an abundant number, since it is smaller than the sum of its proper divisors (76949827200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21856348800 is a wasteful number, since it uses less digits than its factorization.

21856348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 21856348800 in words is "twenty-one billion, eight hundred fifty-six million, three hundred forty-eight thousand, eight hundred".